Using the face edit mode as a texture in bge
I have arrived at an imperfect approximation. It will create the effect, but has some flaws:


Edge lines will be inconsistently thick.
Center point may not be exactly centered.


However, the result is definitely passable:



To create this, you need a few steps:


UV unwrap it. You U>UV unwrap
Reset the UV's U>Reset
Add an image texture, I used this image:





Set the UV map


TADA! You have your result!

See the .blend for any confusing details: